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Problem of uniqueness in the renewal process generated by the uniform distribution - MaRDI portal

Problem of uniqueness in the renewal process generated by the uniform distribution (Q2365558)

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Problem of uniqueness in the renewal process generated by the uniform distribution
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    Problem of uniqueness in the renewal process generated by the uniform distribution (English)
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    29 June 1993
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    Summary: The renewal process generated by the uniform distribution, when interpreted as a transformation of the uniform distribution into a discrete distribution, gives rise to the question of uniqueness of the inverse image. The paper deals with a particular problem from the described domain, that arose in the construction of a complex stochastic test intended to evaluate pseudo-random number generators. The connection of the treated problem with the question of a unique integral representation of gamma-function is also mentioned.
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    piece-wise entire density of exponential type
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    integral representation of gamma-function
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    renewal process
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    uniform distribution
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    pseudo-random number generators
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